Orthogonal Decompositions and Functional Limit Theorems for Random Graph Statistics.
Janson, Svante.
Orthogonal Decompositions and Functional Limit Theorems for Random Graph Statistics. - 1st ed. - 1 online resource (90 pages) - Memoirs of the American Mathematical Society ; v.111 . - Memoirs of the American Mathematical Society .
Intro -- Contents -- Chapter I. Foundations -- 1. Introduction -- 2. Preliminaries -- Graphs -- The Skorokhod topology -- Subsequences -- Continuous time martingales -- Semimartingales -- Wick products -- 3. The basic limit theorem -- 4. The orthogonal decomposition -- Chapter II. Limit theorems -- 5. Limits for G[sub(n,p)] -- 6. Limits for G[sub(n,m)] -- 7. Moment convergence -- 8. Functional convergence -- 9. The maximum -- Chapter III. Examples -- 10. Subgraph counts -- 11. Vertex degrees -- 12. Further examples -- References.
9781470401139
Random graphs.
Central limit theorem.
Orthogonal decompositions.
Electronic books.
QA166.17 -- .J367 1994eb
511/.5
Orthogonal Decompositions and Functional Limit Theorems for Random Graph Statistics. - 1st ed. - 1 online resource (90 pages) - Memoirs of the American Mathematical Society ; v.111 . - Memoirs of the American Mathematical Society .
Intro -- Contents -- Chapter I. Foundations -- 1. Introduction -- 2. Preliminaries -- Graphs -- The Skorokhod topology -- Subsequences -- Continuous time martingales -- Semimartingales -- Wick products -- 3. The basic limit theorem -- 4. The orthogonal decomposition -- Chapter II. Limit theorems -- 5. Limits for G[sub(n,p)] -- 6. Limits for G[sub(n,m)] -- 7. Moment convergence -- 8. Functional convergence -- 9. The maximum -- Chapter III. Examples -- 10. Subgraph counts -- 11. Vertex degrees -- 12. Further examples -- References.
9781470401139
Random graphs.
Central limit theorem.
Orthogonal decompositions.
Electronic books.
QA166.17 -- .J367 1994eb
511/.5